According to this page of blockr stakes in the address P8tx5ggfB6T873N4ubwSnTCZxXGEX1Nf9E finds 200 POS blocks from 2014-04-22 21:59:14 to 04-27 20:45:10 (118.8 hours, about 5 days). The block chain has 852 blocks in this period. This means the address finds 23.5% blocks in the block chain.
There are 44 consecutive 2-chain blocks found by this address, six seven 3-chains, and one 4-chain. Assuming finding POS is random, the probability of the address finding its block after any block is p, then the probability of finding a 4-chain (three in a row after one of its blocks) is p^3, which equals 1/200, therefore we can calculate p=1/5.8
We now know that getting a 6-chain the address needs to find 200*5.8^2 = 6800 blocks. At current speed this is about 170 days.
The owner of this address has two chances in a year to double spend!
This address probably belongs to one of the exchanges. It has 547,588 PPC in balance, which is only about 2.5% of total Peercoin in existence. There are many stakes in this address. The stakes that find the blocks are typically several tens to 200PPCs ( a more accurate measurement can be taken but I only checked several), meaning that the address has 2,000-10,000 such stakes. Because it uses only 200 in 5 days, these stakes can last for 50-250 days. The 30-day waiting period is not an obstacle to maintain the level of block-finding rate.
Someone with 10% total Peercoins can therefore generate POS blocks so fast that he could own the block chain. (a s% increase of your stake will increase your chance by (1+s%)^6 ) Well since we don’t know the owner of the address have other addresses, maybe someone has been having 6-chains all the time but never (or not yet) used it to double spend (or we haven’t found out)
I am somewhat worried. This is way too much easier than I thought. Extending 6-block confirmation to 8-block will decrease the address’ chance of 6-chain to once every ~15 years. But a 10% owner can still have a good chance. One reason why this address finds so many blocks is that there must be only a small number of Peercoins minting. Proportionally this address should only get 2.5% blocks. It gets 9 times as much means that only ~10% coins are minting. Everyone should mint for the coins’ safety.
This is the piece of blockr data, the fields are POS reward, number of confirmations at the time I took the copy, date, time of block, txid
0.30000000 1 2014-04-27 20:45:10 f0f9b47cbe4c806fc4207258b2890bb9d0982b344bfe87ac31784c8051bab2a9
0.57000000 3 2014-04-27 20:21:05 826b35899e0f3f31b698e70f77d47f90ca9c9c676d93e854eaa2816197d8f4aa
0.16000000 6 2014-04-27 20:10:05 509b3c66544b07139b61fbf9bf4e1fba1029e7fb8df1626c240681317eb06056
0.21000000 7 2014-04-27 20:08:48 9e6bb3adab62b3d39e8de20289a8ee1a773fed558e9deb91b261f0525b4c23d6
0.11000000 11 2014-04-27 19:22:38 d530e36a54b2fc9a7a79232a9ebff878b11cf79cc4e1a0d97d05bcd982a4fc77
0.25000000 19 2014-04-27 18:20:01 33f0a1a26e37c818be22eaa6bbd4445f02826056163e9a25fdfa0c4aad37e4a5
0.14000000 22 2014-04-27 18:12:53 b27354a6760400d2fb612e6fcc8d3452610c3afa34df08180263eb31c6b27464
0.10000000 25 2014-04-27 17:53:43 334b85c2014fcea873a5d0c6f7b1ef40c59b8e3d319ce6c2e52dc732121b024d
0.23000000 30 2014-04-27 17:22:50 e4f14ee8169a855027eda268b89e7cec18aa24b043099a27d1d1619c7026f9c3
0.75000000 36 2014-04-27 16:28:13 561b234df3361587fcb6c8a36f9d77a1cbf2354df98fb97e4061454f2b5bfcc0
0.40000000 48 2014-04-27 15:12:34 e0b14d789069db4a7b975500cd24a0125b49125a3e70edb81befc73586f0650c
0.55000000 56 2014-04-27 13:53:41 543d83c1ab47ba4abbe8d8803a678bf7d1e609095e8842a8eb1dd6962511c66c
0.06000000 57 2014-04-27 13:52:54 506c4adaaf8e8d54cb5b3d7e14bb6bffc26383b7e7d8957b6b08698f2689c1fc
0.25000000 62 2014-04-27 13:30:52 55472e60edb53319e21590afb4e16b4a6b117973858bf331d52b07fecfcd730c
0.24000000 70 2014-04-27 12:39:53 e72003dc0ab6227620bd0014773dd0fb664b110a9752ffd1312c462385dd1c3a
0.23000000 76 2014-04-27 11:28:27 1005dcdb5394ae4b94d8bb654a5f7ed35e55c0842dcd00b8c24e3951a88f2d9d
0.12000000 77 2014-04-27 11:22:57 103292797ee2c36bf0d40672703a461074eecba82fe14eb5dfe120c178da898d
0.47000000 80 2014-04-27 11:09:29 d1f26d2a188fb4447902b83bdb7a66437c206be853efea48f579ea30a24c13fd
0.35000000 82 2014-04-27 10:59:01 26017f7f180cd4d14daf3fbe4e509b14b9a8dfccf733f695c5dd1a169cfd6ec6
0.09000000 84 2014-04-27 10:43:08 68298e08dda2e3bee0222e67f056a336c51a19c613faf224eeaab31db781d330
0.22000000 98 2014-04-27 08:33:28 7c276dbbbb473b2d06f2b0b87a707b7d95a6c9fbd6b1f673f98140f60a74628d
0.45000000 100 2014-04-27 08:13:40 71866006717ee3975290b2068c5fcbe88ead021510e67edcb82e9883f1a09f41
0.22000000 101 2014-04-27 08:11:47 118aa19f1bc6ff658e5cf50b34b09a662cab3bdd8861ef2556086ed7ceecad46
0.16000000 104 2014-04-27 08:05:52 c5983a360f5b9d02e62e84e4c20877e02b43a65acbb415dd89ec42f0e12003e5
0.21000000 105 2014-04-27 07:45:22 c5eb32407bf91889919954e97c342e88806ed34d6fd0b6b7a8f2efe0096e69a2
0.24000000 109 2014-04-27 07:14:00 97f4c0de58f46c01bc476795125fee30335d0f5cebd0aeb2ea5437bb272779a0
0.29000000 115 2014-04-27 06:38:30 d7bdd7896975e507ae2911f573e57730b6476381021c3fb24462ceb57c452749
0.10000000 117 2014-04-27 06:33:35 45a2a625df2ca400f8638a72267313211fbb1468db8502713704d19f17b631e8
0.23000000 129 2014-04-27 05:10:45 f53b703686e9760cc94502694378c31f4320e316dd0cd7259a21964517dc3b7b
0.16000000 131 2014-04-27 04:57:19 dadb07a66b0a3f4390478e8dd6827e35ab03d9b8a23899ca2f4b049ddbeb4770
0.36000000 135 2014-04-27 04:05:41 38a428e4932b02dc18d1db54fcd3db1b71a555752709ecb44b7c47467c73b65f
0.14000000 139 2014-04-27 03:39:12 2cf68387df77dfd9f620d308e4cd48863fdc3519c614039a3915db84ed107040
0.15000000 144 2014-04-27 03:13:47 004b389430ca7a51fec67c225963b90f9ea9329574a52703d3a85add4f2ca7a5
0.22000000 145 2014-04-27 03:04:29 dc82be7f459f47b9348dbaa0e0ac8f090d1960e46461f65700f9e8ab21fde6cc
0.10000000 147 2014-04-27 02:48:55 69a1b7fbce90f932776c4493e507a2e175f6a8940c1fd09d6b570f5faccc5871
0.25000000 148 2014-04-27 02:37:47 547b1d2955d2e5ef84a737a767a60d2abac891142fd73d5d37c205bfe17df57f
0.24000000 158 2014-04-26 23:52:04 70c36596e4de7caa32433ab559e33a8767ca767c8e6c8a5ae9a410dda4c2a434
0.37000000 159 2014-04-26 23:34:36 bf038b1021de425caa0d1a8db6eeba39f30d888b799f485e3175159ded505e1c
0.61000000 168 2014-04-26 22:34:59 067e37cd8405c9f147e18574655d1aead0a3fc67b5a98d882964b9487a6c4db6
0.24000000 174 2014-04-26 21:59:23 4b2cacb06d1498eabda84d8e067f767320c1d5d6d36fd6e2a0e3f366b6f2d357
0.37000000 175 2014-04-26 21:52:14 40c72662a00527bcdfefc7909a7a20036a136afc72166ae5e3b765a72b087c06
0.28000000 177 2014-04-26 21:44:56 54da19ddcf6a28feed45a3cacdba57aea4beb7edaf2b1ec7563974f2b0ae97ff
0.13000000 179 2014-04-26 20:53:37 190fd38cbb4e348eb6c9b62f58978eba1ead97f818ad070af5512c99dae6ec8c
0.30000000 182 2014-04-26 20:46:14 6a619cf7d6ea9b283eb55324f14f26f2912c412210c738d4e54abcd34c356d01
0.14000000 185 2014-04-26 20:34:14 251272d829b87bfd06c401c42fa743a22aeb64d7918f5b8649bf0652fef7fe84
0.29000000 188 2014-04-26 20:18:15 dd7cce457ab94ef55fbbe9a7857817b2800a14ebe960be958d1c72c0f8d7dabf
0.23000000 192 2014-04-26 19:28:49 c4da1a71cc7a270f46904a77a3ba89f7b12b84b3103d11a77a1489b87ea8a888
0.18000000 201 2014-04-26 18:10:30 4df8a66e55e45d26489ca8364729c79d143c89ef9f6aae42d6d7e9db24e8d53d
0.08000000 206 2014-04-26 17:39:50 106636d4d9adc7111ff7b2b7fe245f2e05cda0115d1a219c7dc1d92d91d2c549
0.03000000 214 2014-04-26 16:49:09 e3d4cd6e969da4a097f6faa1ae82799314db11c2a7f70920f8a49c1a28354713
0.16000000 217 2014-04-26 16:17:44 53f8b5c193c41f8def144279aad44b3a761696a66b8ec454d634d9239705d3ff
0.18000000 220 2014-04-26 16:09:32 5299f5fe2a3de22132a5d4a71ab966fb93132f099cb022ff3764be3646851906
0.27000000 224 2014-04-26 15:46:14 590bf229d0ae2b96b4694ca0d2d14e7b83bb8f90d9818cd5760ceb757d8ac7d7
0.16000000 225 2014-04-26 15:26:33 4f5525c7c9792cfa9f6231f4e4e67b4ad050c5c6edad0540f4711803f5ed4843
0.28000000 231 2014-04-26 15:02:20 49ecf3efd75f83fe40ec70f193ce871b39de4c53ed7b38245ccfd924ae149f59
0.16000000 232 2014-04-26 15:00:42 25ee7a260eaf1eadf782225225ad75bb0a9c79483f9702f9711f90fea3019f72
0.18000000 234 2014-04-26 14:21:39 38094f103cec9a383a6d854c762d0b44d6fc0c50afa037a0bd26bc30f3e14b2c
0.15000000 245 2014-04-26 12:31:55 d2c35740fc8a5efe151f718873a13e33e2b231cb9cad261c3a4eff5cd4c3aa3e
0.17000000 246 2014-04-26 11:45:29 1e5166fb4879eebc2097b6a8cd30ac98edfbb1055b9c398a46022e21fbe6c6b3
0.48000000 248 2014-04-26 11:31:06 886bd9ac22d05551ef727715bb9cc8c443563defe2c924ea4c4353c8d0c4f346
0.35000000 255 2014-04-26 10:54:29 47fefdc270badaaa54abd69289e707127bbb6a9d2e04adf2a71efa4fd360c6e2
0.50000000 257 2014-04-26 10:39:32 7cdccb64632ef03e26db7a72cac766994bb506e586bc54ddae9b221c32d73ab6
0.33000000 261 2014-04-26 10:05:50 05aaaead31794a5d0cc7b8f13d9970101c20518445cf1e16270c88bdfc67c0c5
0.22000000 265 2014-04-26 09:01:44 50e567a232856728ad8e9cf727c251070590ada3aafe34d19e370c9731c8113c
0.27000000 270 2014-04-26 08:40:44 37498076495692438aa46e14c38277bb9daa09753a9870c634ee245d463e3e37
0.16000000 272 2014-04-26 08:29:18 62dcebb81bd57d692c916fb6154da391a8fd856a6bf505465bede8645fe8e6c6
0.19000000 280 2014-04-26 07:38:50 7ed31dfd4ea177aad3284629a69759ec227e340dd6e773afae8b6c09a29c4156
0.31000000 283 2014-04-26 06:51:34 2d4dad2acfd3cb1e8fd5926d5ccae4856b7766cce4e8a25781c7f2f0b9d66832
0.64000000 288 2014-04-26 06:31:06 3a32ca8b6713a807c700b5067c5dc6885ced3e0c3adab7a8556f133f2eb0d5d1
0.23000000 289 2014-04-26 05:39:49 7f2287be059f6d8a53240ec715016e25bae079f1fd77cb7d4246ac59cd1d5f9b
0.24000000 290 2014-04-26 05:25:26 8f5a7755d24c147eb44ef06c27ee704123e7e73ed0b02296c8a39864763ff856
0.46000000 292 2014-04-26 05:09:59 7aa11d95e5959d6099dc5fce9ec7d636048a17640acfd0461212b8d516a5e6b0
0.35000000 293 2014-04-26 04:58:53 380f45efbfcddeabb66b1da91ca864fea7e3e1ff5281e7244c8ad295703aba30
0.22000000 296 2014-04-26 04:48:46 6827e162ee2cfd88dd0fb6cb49a2b29e670e9d9a2117614d39344c99d38d1f00
0.43000000 300 2014-04-26 04:34:34 df564850eb67dbd6ec40b4066c089656ea47e938195dbefb1500150a91efd07a
0.32000000 305 2014-04-26 03:25:43 fa2dbf1a690934df49d9261a95de349225d9c6de319f71399de74ae39c63cbd1
0.19000000 307 2014-04-26 03:20:23 4821109add1f2bd750ad23ba8f9aec1df852fc835431bbf851f597fbc38b0b7b
0.16000000 309 2014-04-26 03:07:24 51281bdeabedfd20a3aa589a4af135b319837e29247b3f9afaa24b05a50ccdd4
0.10000000 311 2014-04-26 02:55:27 df2a95c2c26578b6b1e059f0b9604b710f4516c61f5dbdf585664e9574057d39
0.18000000 313 2014-04-26 02:52:15 0df0350a10c350ab7337c27776567943425431d3c9e0076edf4b18fdbb6d8c4d
0.24000000 314 2014-04-26 02:48:38 eba286784600e33b1579032250a14bef974eff8faa806faddbaecc4ece208554
0.15000000 317 2014-04-26 02:42:29 29344c75ee8882820fa9058767218243276e46651547f5d331b252d1390cbfc3
0.36000000 322 2014-04-26 01:48:03 5c2a564271fc012288eb15ee2260207ca3a405970b60551a01f77a5d6146f818
0.48000000 326 2014-04-26 01:34:12 77b13970311985f2b91fc3aee051f21d9318cfb11d406c32468ebab1a24cbe72
0.17000000 329 2014-04-26 01:22:25 83dfdf81a08e5cee2006160b2f91bc2ea73791cc6db7a16b76a341f352382fe7
0.01000000 334 2014-04-26 00:41:45 2a3072fe3247c0390cd5e10b7ed478ebf5045d0a9b0ff3c1668a06fe10cb7492
0.24000000 338 2014-04-26 00:08:47 401a49080bcf1e2036d1d8c75d99e11fbd8182c7e55c24ca5ddf346e5cc47860
0.76000000 347 2014-04-25 22:45:07 c753c2520b3deeb84c787477e27294c6caa0605d3f6dcafee51e43012481d1fc
0.22000000 348 2014-04-25 22:42:55 0c88c00ebe5b64dde0f4d53e4f293b4ccac6fa4c2bd0f1093c92b1dcb4e61d1c
0.20000000 366 2014-04-25 20:03:01 d7e271dd7ab2ffbd30934d3e147418c5107ddd57d1f1b1238848edb179d7cf8c
0.15000000 380 2014-04-25 18:11:05 2d14f731e00e59d156bd29ce1a6c093259e1e1e4a6f6239dfc894de075dea3c7
0.25000000 393 2014-04-25 16:34:53 c23b796362984213ad67d9127ba2e5c08e5d2248d8a5e6be5713f4518aa562e0
0.21000000 401 2014-04-25 15:39:55 ac8e4fb7b371df2c2ad2ce8952378f778abb24c89722ef52be19cd895c652da5
0.52000000 402 2014-04-25 15:34:23 53b7067498bdc14917c8c7ae04b5958f38476f0d3807d0c7d68e49f4429e800a
0.33000000 403 2014-04-25 15:17:12 a88ee6c809b16dfe6020043c513bd3e8a659a0b6fe3ad4875b0f7286ed557f68
0.17000000 406 2014-04-25 14:49:55 4cefb8534b6913dd415f8e0e26e29196c65bc3b73a58167f44026d5b10b43218
0.05000000 414 2014-04-25 13:53:48 df3964b71d8b5fc6598462f5ad2808dc106f25755a557ce98a4360b98fff4975
0.21000000 420 2014-04-25 12:54:14 007ac8f6fb776b7ce77f878e0e5bc664ec4bd2ccca454e6ccf0d804ec8af86b1
0.45000000 428 2014-04-25 11:49:04 e09ff80f61faeba901c29c9feeb1a46c5f6d79dc94e10fe066d59108cadbefec
0.25000000 430 2014-04-25 11:41:05 898800770ed3f2dd11bf04aa8cf258b0a4b7dfeb9e7ea00d936a0b65b47d3b36
0.38000000 433 2014-04-25 11:19:43 f19e46c210c7c6ff513aca64d97900b1c0e3c7c1fe7848740b9c8d41d050710b
0.19000000 440 2014-04-25 10:13:19 fc28be4b4f1febad468b77bdd33629fb771312130b69a4918c06d3e464ad370d
0.12000000 446 2014-04-25 09:52:01 82ca47139ace2eb2daf88ac70f7723b629664645ef992a2ce303d14f97ccbafc
0.20000000 447 2014-04-25 09:50:29 a1c3af7baba1006502bb1a05f935f1c0d4776b9e485347a07c5fdeafd6a12f99
0.10000000 453 2014-04-25 09:19:19 cd519217753fd3475e374d4d3af880523614280d60b82e4d650e72e8f9ed5442
0.45000000 461 2014-04-25 08:15:49 ba6bd83ce0bbb14c1f7030b11685db06c4fc4e883840ce32d208b50e861c3cc2
0.06000000 466 2014-04-25 07:40:01 436a658a12c2a545ea001bf0e34958b1f2cc2c2ed0222c5ad8077bef04af9a07
0.10000000 468 2014-04-25 07:15:49 88af0111d7fc6ab56568f1038b9ec6b6cffd92369412f34bf7f30bd758422609
0.30000000 473 2014-04-25 06:38:15 5af3f11978128074f508d3c752111340b91ed231a59542147cb6147cc2c37c57
0.09000000 476 2014-04-25 06:28:40 b93f6289f23d75214ee3081047ba4ede9376a43079894ec27a660b42c8056913
0.13000000 478 2014-04-25 06:13:52 fbaede4cafb0775b6f87bc90d28cf7288803510d7b13bb42baad3d209b13eab5
0.46000000 487 2014-04-25 04:59:03 67b52954ca00f881f60a7eff525f12ed8d85bf75abe6f14f9b89b9840fea2fea
0.28000000 489 2014-04-25 04:44:48 3d5c58800c9486306dfeac05cd582d42dcb1ccc0d6b9a9551492100c7f232b69
0.31000000 491 2014-04-25 04:35:24 8fbf0b2c890e87e2bcaad21c74fbfb74e09722c93fc64d9dcdf39a119be20141
0.25000000 497 2014-04-25 04:07:32 af0c1eedfa4a937cfa3fbed8a06a9bac85dca4810c0276c0f9e2c0373009adc1
0.15000000 498 2014-04-25 04:00:14 f2d7df24b7da7bd47fe64375210498b06c46656f913ee8c39cd76a4149aa3abf
0.04000000 504 2014-04-25 03:26:32 5a035f7b909f176a36e4d4c02dc6b44ecac4628f4dc74dbf554b75dc0906b48e
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0.33000000 525 2014-04-25 00:41:29 e0a5eea7d74f8cf5d12a5953ac0d6bc665535d81933b6b62cffa604126ce3f39
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0.22000000 538 2014-04-24 22:33:23 3dba51cd837948cf8e49dab376a97ca0b88f1f56404fd0dd6ced04cf17977054
0.31000000 539 2014-04-24 22:15:04 501529a848a3151e8f173f27c27d15979379650840002978f52ae9efc8a67ba0
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0.11000000 551 2014-04-24 20:30:15 46df32966b019e0eeba252ab2cc3fa4f9a8f3f32e25e14a6cfd353954d2b228d
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0.10000000 559 2014-04-24 19:59:33 e8bfaacc86c88a9e0aabda6951de3d1ab772b7541ad7265076f3097c1c35a9c5
0.78000000 562 2014-04-24 19:40:40 736b65c188610acc00eda3967bd020eb420bdde4465b98ce56c21e56daf789bf
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0.26000000 571 2014-04-24 18:11:12 71a4cf2a3fa5d4486f4419acdca04c24510a753ad3de4ed08f62ecd3838b23c9
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